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The breaking strength (in pounds) of a certain new synthetic is normally distributed, with a mean of 172 and a variance of 9. The material is considered defective if the breaking strength is less than 166 pounds. What is the probability that a single, randomly selected piece of material will be defective? (Give the answer to two decimal places.)

  • algebra -

    Z = (score-mean)/SD

    SD = √variance

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to the Z score.

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